Export VSE edits to Avidemux
There is no "out of the box"-solution for this right now in Blender.

However, you could use some Python scripting to export the cuts. Don't forget, that depending on your Frame distribution (IBP-Frames) and GOP you might not be able to cut frame-precise with Avidemux.

There are some related questions where you can get some help of how to access the frame ranges:


How can I drive the Switch nodes True/False value?
Why is &quot;Copy Data Path&quot; path different from the tooltip&#39;s path?
How to replace an orphaned external file by an existing one? (all instances)
How to snap the right edge of a strip to the playhead instead of the left in video editor